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prisoha [69]
3 years ago
5

Find the area of triangle GHJ

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

The area of this triangle would be 24.

Step-by-step explanation:

In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.

6 - -2 = 8 = base

Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.

5 - -1 = 6 = height

Now that we have those two distances, we can just use the triangle formula.

A = 1/2bh

A = 1/2(8)(6)

A = 24

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Which is a complete list of factors of each term in the expression 15 + 20 x?
BigorU [14]

Answer:

  A:

     15: 1, 3, 5, 15

     20x: 1, 2, 4, 5, 10, 20, x

Step-by-step explanation:

When finding divisors of a number, it is often convenient to start with the <em>prime</em> factors. Those may be raised to some power.

For the numbers here, the prime factors are ...

  15 = 3·5

  20 = 2²·5

One of the reasons this is useful is that each of these prime factors has an exponent. The number of divisors is the product of these exponents incremented by 1. That is, the number of divisors will be ...

  for 15: (1+1)(1+1) = 4

  for 20: (2+1)(1+1) = 6

Knowing this can help you make sure you have found all of the divisors. This number includes 1 and the number itself.

Then the divisors are ...

  15 ⇒ 1, 3, 5, 15 . . . . . . . . . . . 4 divisors

  20 ⇒ 1, 2, 4, 5, 10, 20 . . . . . 6 divisors

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For the variables, it is a little hard to tell what is intended. At least, a list of the individual variables is required. Hence x is added to the list for 20x.

The "complete" list of factors is ...

  • 15: 1, 3, 5, 15
  • 20x: 1, 2, 4, 5, 10, 20, x

_____

<em>Further comment on variable factors</em>

If the variables were to be included in the divisor list the way the prime factors are, then we would first start by listing the prime factors:

 {2, 2, 5, x}

Then we would form the possible subsets:

  { }, {2}, {5}, {x}, {2, 2}, {2, 5}, {2, x}, {5, x}, {2, 2, 5}, {2, 2, x}, {2, 5, x}, {2, 2, 5, x}

and finally, form the products of the contents of these subsets:

  1, 2, 5, x, 4, 10, 2x, 5x, 10, 4x, 10x, 20x

Apparently, the answer choices for this question do not recognize 2x as a factor of the second term. The treatment for numbers is obviously different from the treatment for variables, but it is hard to tell what the rules for variables are from the answer choices here. (Consult your teacher and/or text.)

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Step-by-step explanation:

46 is already in standard form

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Step-by-step explanation:

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Step-by-step explanation:

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